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Finding the Fourth Proportional to 1,462.51, 2,193.74 and 640.85

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Solution

The fourth proportional to 1,462.51, 2,193.74 and 640.85 is: 961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.51 : 2,193.74 = 640.85 : x
  2. Step 2: Convert to fraction form
    1,462.51/2,193.74 = 640.85/x
  3. Step 3: Cross multiply
    1,462.51x = 2,193.74 × 640.85
  4. Step 4: Simplify right side
    1,462.51x = 1,405,844.11
  5. Step 5: Solve for x
    x = 1,405,844.11/1,462.51
  6. Step 6: Final answer
    x = 961.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.